112000002111001 has 8 divisors (see below), whose sum is σ = 115155073732608. Its totient is φ = 108865090692000.

The previous prime is 112000002110959. The next prime is 112000002111017. The reversal of 112000002111001 is 100111200000211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112000002111001 - 2⁹ = 112000002110489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112000002111401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5040039385 + ... + 5040061606.

It is an arithmetic number, because the mean of its divisors is an integer number (14394384216576).

Almost surely, 2^{112000002111001} is an apocalyptic number.

It is an amenable number.

112000002111001 is a deficient number, since it is larger than the sum of its proper divisors (3155071621607).

112000002111001 is a wasteful number, since it uses less digits than its factorization.

112000002111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080101303.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 112000002111001 its reverse (100111200000211), we get a palindrome (212111202111212).

It can be divided in two parts, 11200000211 and 1001, that multiplied together give a palindrome (11211200211211).

The spelling of 112000002111001 in words is "one hundred twelve trillion, two million, one hundred eleven thousand, one".